Cooperative Differential Fishery Game with Pairwise Interactions
Abstract
In this paper, a cooperative differential game with pairwise interactions is investigated. As a basic solution, the τ−value is constructed. Finally, the results are illustrated by the differential fishery game with pairwise interactions.
Keywords:
dynamic network game, pairwise interaction, τ-value, fishery game
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References
Clark, C. W., (1986). Bioeconomic modeling and fisheries management. Wiley, New York.
Dockner, E. (2000). Differential games in economics and management science. Cambridge University Press.
He, Y., Petrosyan, L. A. (2024). A note on cooperative differential games with pairwise interactions. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 20(1), 91–108. https://doi.org/10.21638/11701/spbu10.2024.108
Mazalov, V. V., Rettiva, A. N. (2010). Fish wars and cooperation maintenance Ecological Modeling., 221, 1545–1553.
Mazalov, V. V. (2014). Mathematical game theory and applications, John Wiley & Sons.
Petrosyan, L. A., Yeung, D. W. K., Pankratova, Y. B. (2021). Dynamic cooperative games on networks. International Conference on Mathematical Optimization Theory and Operations Research. Cham,Springer Publ., pp. 403–416. https://doi.org/10.1007-3-030-86433-0-28
Tijs, S. H. (1987). An axiomatization of the τ−value. Math. Soc. Sci. 13, 177–181. https://doi.org/10.1016/0165-4896(87)90054-0
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Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
